TSTP Solution File: SET186-6 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SET186-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n006.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 18:19:42 EDT 2022

% Result   : Unsatisfiable 0.19s 0.52s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   19 (   9 unt;   0 def)
%            Number of atoms       :   34 (   3 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   31 (  16   ~;  15   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   20 (  20   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f202,plain,
    $false,
    inference(unit_resulting_resolution,[],[f4,f183,f201,f1]) ).

fof(f1,axiom,
    ! [X2,X0,X1] :
      ( ~ subclass(X0,X1)
      | member(X2,X1)
      | ~ member(X2,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).

fof(f201,plain,
    ~ member(not_subclass_element(x,y),universal_class),
    inference(subsumption_resolution,[],[f199,f183]) ).

fof(f199,plain,
    ( ~ member(not_subclass_element(x,y),x)
    | ~ member(not_subclass_element(x,y),universal_class) ),
    inference(resolution,[],[f197,f182]) ).

fof(f182,plain,
    ~ member(not_subclass_element(x,y),y),
    inference(resolution,[],[f114,f3]) ).

fof(f3,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | ~ member(not_subclass_element(X0,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).

fof(f114,axiom,
    ~ subclass(x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property4_2) ).

fof(f197,plain,
    ! [X0] :
      ( member(X0,y)
      | ~ member(X0,universal_class)
      | ~ member(X0,x) ),
    inference(resolution,[],[f195,f24]) ).

fof(f24,axiom,
    ! [X0,X4] :
      ( ~ member(X4,complement(X0))
      | ~ member(X4,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement1) ).

fof(f195,plain,
    ! [X2] :
      ( member(X2,complement(x))
      | member(X2,y)
      | ~ member(X2,universal_class) ),
    inference(resolution,[],[f185,f21]) ).

fof(f21,axiom,
    ! [X0,X1,X4] :
      ( ~ member(X4,intersection(X0,X1))
      | member(X4,X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).

fof(f185,plain,
    ! [X0] :
      ( member(X0,intersection(complement(x),complement(y)))
      | ~ member(X0,universal_class)
      | member(X0,y) ),
    inference(superposition,[],[f25,f156]) ).

fof(f156,plain,
    y = complement(intersection(complement(x),complement(y))),
    inference(definition_unfolding,[],[f113,f26]) ).

fof(f26,axiom,
    ! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',union) ).

fof(f113,axiom,
    y = union(x,y),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property4_1) ).

fof(f25,axiom,
    ! [X0,X4] :
      ( member(X4,complement(X0))
      | member(X4,X0)
      | ~ member(X4,universal_class) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement2) ).

fof(f183,plain,
    member(not_subclass_element(x,y),x),
    inference(resolution,[],[f114,f2]) ).

fof(f2,axiom,
    ! [X0,X1] :
      ( subclass(X0,X1)
      | member(not_subclass_element(X0,X1),X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).

fof(f4,axiom,
    ! [X0] : subclass(X0,universal_class),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem    : SET186-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 13:24:10 EDT 2022
% 0.12/0.33  % CPUTime    : 
% 0.19/0.49  % (25723)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.49  % (25712)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.50  % (25723)Instruction limit reached!
% 0.19/0.50  % (25723)------------------------------
% 0.19/0.50  % (25723)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (25723)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (25723)Termination reason: Unknown
% 0.19/0.50  % (25723)Termination phase: Saturation
% 0.19/0.50  
% 0.19/0.50  % (25723)Memory used [KB]: 5884
% 0.19/0.50  % (25723)Time elapsed: 0.006 s
% 0.19/0.50  % (25723)Instructions burned: 5 (million)
% 0.19/0.50  % (25723)------------------------------
% 0.19/0.50  % (25723)------------------------------
% 0.19/0.50  % (25733)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.50  % (25739)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.50  % (25725)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.50  % (25715)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.50  % (25731)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.19/0.50  % (25715)Refutation not found, incomplete strategy% (25715)------------------------------
% 0.19/0.50  % (25715)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50  % (25715)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50  % (25715)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.50  
% 0.19/0.50  % (25715)Memory used [KB]: 5884
% 0.19/0.50  % (25715)Time elapsed: 0.105 s
% 0.19/0.50  % (25715)Instructions burned: 2 (million)
% 0.19/0.50  % (25715)------------------------------
% 0.19/0.50  % (25715)------------------------------
% 0.19/0.50  % (25716)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.51  % (25717)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51  % (25711)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.52  % (25722)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.52  % (25737)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.19/0.52  % (25720)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52  % (25714)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 0.19/0.52  % (25734)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.19/0.52  % (25713)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.52  % (25714)Refutation not found, incomplete strategy% (25714)------------------------------
% 0.19/0.52  % (25714)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (25714)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (25714)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52  
% 0.19/0.52  % (25714)Memory used [KB]: 5884
% 0.19/0.52  % (25714)Time elapsed: 0.124 s
% 0.19/0.52  % (25714)Instructions burned: 1 (million)
% 0.19/0.52  % (25714)------------------------------
% 0.19/0.52  % (25714)------------------------------
% 0.19/0.52  % (25739)Instruction limit reached!
% 0.19/0.52  % (25739)------------------------------
% 0.19/0.52  % (25739)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (25739)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (25739)Termination reason: Unknown
% 0.19/0.52  % (25739)Termination phase: Saturation
% 0.19/0.52  
% 0.19/0.52  % (25739)Memory used [KB]: 6268
% 0.19/0.52  % (25739)Time elapsed: 0.119 s
% 0.19/0.52  % (25739)Instructions burned: 20 (million)
% 0.19/0.52  % (25739)------------------------------
% 0.19/0.52  % (25739)------------------------------
% 0.19/0.52  % (25713)Instruction limit reached!
% 0.19/0.52  % (25713)------------------------------
% 0.19/0.52  % (25713)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (25713)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (25713)Termination reason: Unknown
% 0.19/0.52  % (25713)Termination phase: Property scanning
% 0.19/0.52  
% 0.19/0.52  % (25713)Memory used [KB]: 1407
% 0.19/0.52  % (25713)Time elapsed: 0.003 s
% 0.19/0.52  % (25713)Instructions burned: 4 (million)
% 0.19/0.52  % (25713)------------------------------
% 0.19/0.52  % (25713)------------------------------
% 0.19/0.52  % (25728)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.52  % (25735)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.19/0.52  % (25712)First to succeed.
% 0.19/0.52  % (25731)Instruction limit reached!
% 0.19/0.52  % (25731)------------------------------
% 0.19/0.52  % (25731)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (25712)Refutation found. Thanks to Tanya!
% 0.19/0.52  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.52  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.52  % (25712)------------------------------
% 0.19/0.52  % (25712)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52  % (25712)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52  % (25712)Termination reason: Refutation
% 0.19/0.52  
% 0.19/0.52  % (25712)Memory used [KB]: 1791
% 0.19/0.52  % (25712)Time elapsed: 0.124 s
% 0.19/0.52  % (25712)Instructions burned: 14 (million)
% 0.19/0.52  % (25712)------------------------------
% 0.19/0.52  % (25712)------------------------------
% 0.19/0.52  % (25710)Success in time 0.18 s
%------------------------------------------------------------------------------